Moduli theory is one of the central parts of algebraic geometry. The past 15 years have witnessed an explosion of activity in this area. It interacts extensively with other area: besides the rest of algebraic geometry, it has very important intersections with complex analysis, symplectic geometry, string theory, homotopy theory, geometric topology.
This activity is meant to offer a wide view of the many aspects of the field. It will be split into two parts. The first week will consist of a summer school, in which high level experts will teach five courses on recent and very important advances in the subject. During the first part of each course the teacher will present the necessary background material, making it accessible to graduate students and beginning researchers. During the second week a regular conference will take place.